Search a number
-
+
121335414445 = 5767734091733
BaseRepresentation
bin111000100000000100…
…1110111111010101101
3102121012001222200201201
41301000021313322231
53441443331230240
6131423555005501
711523543001660
oct1610011677255
9377161880651
10121335414445
1147504750823
121b622b99891
13b598a7192b
145c308456d7
15325233dd9a
hex1c40277ead

121335414445 has 64 divisors (see below), whose sum is σ = 171717603840. Its totient is φ = 80592703488.

The previous prime is 121335414413. The next prime is 121335414449. The reversal of 121335414445 is 544414533121.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 121335414445 - 25 = 121335414413 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121335414449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70013799 + ... + 70015531.

It is an arithmetic number, because the mean of its divisors is an integer number (2683087560).

Almost surely, 2121335414445 is an apocalyptic number.

It is an amenable number.

121335414445 is a deficient number, since it is larger than the sum of its proper divisors (50382189395).

121335414445 is a wasteful number, since it uses less digits than its factorization.

121335414445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2294.

The product of its digits is 115200, while the sum is 37.

Adding to 121335414445 its reverse (544414533121), we get a palindrome (665749947566).

The spelling of 121335414445 in words is "one hundred twenty-one billion, three hundred thirty-five million, four hundred fourteen thousand, four hundred forty-five".

Divisors: 1 5 7 35 67 73 335 365 409 469 511 1733 2045 2345 2555 2863 4891 8665 12131 14315 24455 27403 29857 34237 60655 116111 126509 137015 149285 171185 191821 208999 580555 632545 708797 812777 885563 959105 1044995 2000419 3543985 4063885 4427815 4961579 8476103 10002095 14002933 24807895 42380515 47489399 51742181 59332721 70014665 237446995 258710905 296663605 332425793 362195267 1662128965 1810976335 3466726127 17333630635 24267082889 121335414445